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Description of Statistical Computation

Author's title

Identification and Estimation of ARMA process Spectrum analyse zonder aanpa...

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationThu, 04 Dec 2008 12:54:30 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/04/t122842053854c6y54b819d4i1.htm/, Retrieved Wed, 22 May 2024 08:20:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29044, Retrieved Wed, 22 May 2024 08:20:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact192

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP     [Spectral Analysis] [Identification an...] [2008-12-04 19:54:30] [6797a1f4a60918966297e9d9220cabc2] [Current]
F   P       [Spectral Analysis] [Identification an...] [2008-12-04 20:00:59] [063e4b67ad7d3a8a83eccec794cd5aa7]
F   P         [Spectral Analysis] [Identification an...] [2008-12-04 20:04:13] [063e4b67ad7d3a8a83eccec794cd5aa7]
F   PD        [Spectral Analysis] [Eigen tijdreeks t...] [2008-12-06 15:20:37] [063e4b67ad7d3a8a83eccec794cd5aa7]
F    D          [Spectral Analysis] [Eigen tijdreeks t...] [2008-12-06 15:23:12] [063e4b67ad7d3a8a83eccec794cd5aa7]
F   PD      [Spectral Analysis] [Eigen tijdreeks S...] [2008-12-06 15:01:20] [063e4b67ad7d3a8a83eccec794cd5aa7]
F   PD      [Spectral Analysis] [Eigen tijdreeks S...] [2008-12-06 15:03:16] [063e4b67ad7d3a8a83eccec794cd5aa7]
-   PD      [Spectral Analysis] [Eigen tijdreeks S...] [2008-12-06 15:04:52] [063e4b67ad7d3a8a83eccec794cd5aa7]
-   PD      [Spectral Analysis] [Eigen tijdreeks S...] [2008-12-06 15:06:57] [063e4b67ad7d3a8a83eccec794cd5aa7]
Feedback Forum
2008-12-15 17:59:30 [Evelien Blockx] [reply] 
In het cumulatief periodogram zien we inderdaad een LT trend (sterke stijging in het begin) en seizoenaliteit (trapmotief). Dit zullen we dus moeten wegwerken door zowel gewoon als seizoenaal te differentiëren.
2008-12-15 18:09:07 [Jeroen Michel] [reply] 
Gebruikte methode: spectral analysis
- we zetten: lambda = 1 d=0 D=0 seiz=12

Waarden met een lage frequentie komen veel meer voor. Dit wijst op lange termijn.
Er zijn regelmatige pieken. Dit wijst op seizoenaliteit.

Cumulative periodogram: lange termijn bepaald 70 % van de tijdreeks (zeer snel stijgend deel aan het uiterste begin van de tijdreeks.

- nu zetten we lambda = 1 d=1 D=0 seiz=12

De lange termijn trend weg want de grafiek verloopt horizontaal
Er is nog wel seizoenaliteit. Dit zie je aan de hoge getallen bij 12 en 14.

- nu zetten we ook nog: lambda = 1 d=1 D=1 seiz=12

Cumulative periodorgram: lijn ligt in betrouwbaarheidsinterval (geen lange termijn trend)
Seizoenaltiteit is weg, geen overdreven pieken meer.

Merkwaardig: golfbeweging aanwezig: sterke stijging in het begin , er is toch een zekere voorspelbaarheid op lange termijn
Maar: -geen trend - geen seizoenaliteit
Het kan gezien worden als Conjunctuur.
De reeks wordt stationair.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29044&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29044&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29044&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)305412.921088
0.0053 (187.5)836275.153364
0.008 (125)25924.242345
0.0107 (93.75)2438.46743
0.0133 (75)60760.562241
0.016 (62.5)248643.39661
0.0187 (53.5714)219726.382379
0.0213 (46.875)5307.430043
0.024 (41.6667)113169.995526
0.0267 (37.5)5632.434995
0.0293 (34.0909)42000.731998
0.032 (31.25)3933.834892
0.0347 (28.8462)23380.749897
0.0373 (26.7857)22184.263032
0.04 (25)45594.791384
0.0427 (23.4375)7580.338001
0.0453 (22.0588)1925.794887
0.048 (20.8333)10964.663604
0.0507 (19.7368)73.73535
0.0533 (18.75)7972.451053
0.056 (17.8571)4058.376269
0.0587 (17.0455)13467.282847
0.0613 (16.3043)2553.825299
0.064 (15.625)3514.172006
0.0667 (15)869.704069
0.0693 (14.4231)466.697005
0.072 (13.8889)87.138234
0.0747 (13.3929)2892.663869
0.0773 (12.931)1907.11472
0.08 (12.5)8035.783217
0.0827 (12.0968)66353.069789
0.0853 (11.7188)12243.133634
0.088 (11.3636)8330.071062
0.0907 (11.0294)3501.405105
0.0933 (10.7143)1215.317187
0.096 (10.4167)648.858007
0.0987 (10.1351)1713.000747
0.1013 (9.8684)56.922523
0.104 (9.6154)4656.230622
0.1067 (9.375)726.147395
0.1093 (9.1463)125.422037
0.112 (8.9286)162.342283
0.1147 (8.7209)463.861461
0.1173 (8.5227)417.84533
0.12 (8.3333)290.424129
0.1227 (8.1522)762.717422
0.1253 (7.9787)327.88452
0.128 (7.8125)169.692982
0.1307 (7.6531)104.31067
0.1333 (7.5)732.145538
0.136 (7.3529)373.506985
0.1387 (7.2115)7.604551
0.1413 (7.0755)220.553988
0.144 (6.9444)839.521161
0.1467 (6.8182)393.246535
0.1493 (6.6964)507.301466
0.152 (6.5789)618.82861
0.1547 (6.4655)78.631513
0.1573 (6.3559)1100.788506
0.16 (6.25)2816.708611
0.1627 (6.1475)5497.013382
0.1653 (6.0484)43080.497912
0.168 (5.9524)38220.275597
0.1707 (5.8594)5263.218754
0.1733 (5.7692)3175.089709
0.176 (5.6818)422.105705
0.1787 (5.597)404.262665
0.1813 (5.5147)96.929115
0.184 (5.4348)268.407257
0.1867 (5.3571)471.357965
0.1893 (5.2817)4.602399
0.192 (5.2083)6.226613
0.1947 (5.137)555.477218
0.1973 (5.0676)105.562383
0.2 (5)106.693124
0.2027 (4.9342)365.21339
0.2053 (4.8701)578.006014
0.208 (4.8077)301.856887
0.2107 (4.7468)12.160869
0.2133 (4.6875)167.999597
0.216 (4.6296)87.634774
0.2187 (4.5732)94.207363
0.2213 (4.5181)72.898752
0.224 (4.4643)40.872729
0.2267 (4.4118)58.267977
0.2293 (4.3605)153.166385
0.232 (4.3103)63.576578
0.2347 (4.2614)142.78437
0.2373 (4.2135)539.460232
0.24 (4.1667)1045.83448
0.2427 (4.1209)68.339186
0.2453 (4.0761)710.483462
0.248 (4.0323)5855.827504
0.2507 (3.9894)21873.575727
0.2533 (3.9474)1517.513805
0.256 (3.9062)411.931544
0.2587 (3.866)61.893128
0.2613 (3.8265)62.82269
0.264 (3.7879)158.711251
0.2667 (3.75)8.586587
0.2693 (3.7129)164.013297
0.272 (3.6765)155.577936
0.2747 (3.6408)168.014205
0.2773 (3.6058)67.286502
0.28 (3.5714)29.916694
0.2827 (3.5377)85.6302
0.2853 (3.5047)203.985743
0.288 (3.4722)59.484349
0.2907 (3.4404)63.294866
0.2933 (3.4091)47.798787
0.296 (3.3784)24.847116
0.2987 (3.3482)3.142518
0.3013 (3.3186)74.742853
0.304 (3.2895)26.040169
0.3067 (3.2609)5.481305
0.3093 (3.2328)64.169891
0.312 (3.2051)52.334359
0.3147 (3.178)105.19286
0.3173 (3.1513)25.478031
0.32 (3.125)9.412664
0.3227 (3.0992)237.788005
0.3253 (3.0738)16.770133
0.328 (3.0488)125.738512
0.3307 (3.0242)1395.603276
0.3333 (3)2117.716663
0.336 (2.9762)198.222107
0.3387 (2.9528)213.673282
0.3413 (2.9297)0.477349
0.344 (2.907)110.526313
0.3467 (2.8846)21.56702
0.3493 (2.8626)314.476129
0.352 (2.8409)78.326184
0.3547 (2.8195)10.083297
0.3573 (2.7985)26.371526
0.36 (2.7778)36.85968
0.3627 (2.7574)379.688317
0.3653 (2.7372)50.55697
0.368 (2.7174)8.913881
0.3707 (2.6978)52.245281
0.3733 (2.6786)20.549021
0.376 (2.6596)29.521128
0.3787 (2.6408)36.3016
0.3813 (2.6224)99.851191
0.384 (2.6042)71.236474
0.3867 (2.5862)5.140791
0.3893 (2.5685)89.996982
0.392 (2.551)136.158383
0.3947 (2.5338)113.464136
0.3973 (2.5168)33.103213
0.4 (2.5)31.900626
0.4027 (2.4834)57.379425
0.4053 (2.4671)18.361649
0.408 (2.451)173.511546
0.4107 (2.4351)85.783267
0.4133 (2.4194)940.594929
0.416 (2.4038)14079.701652
0.4187 (2.3885)3526.560495
0.4213 (2.3734)1423.339742
0.424 (2.3585)350.478199
0.4267 (2.3438)117.237258
0.4293 (2.3292)47.144303
0.432 (2.3148)266.375549
0.4347 (2.3006)27.963408
0.4373 (2.2866)60.379971
0.44 (2.2727)5.396099
0.4427 (2.259)94.141278
0.4453 (2.2455)99.625457
0.448 (2.2321)62.36076
0.4507 (2.2189)48.873597
0.4533 (2.2059)48.579614
0.456 (2.193)240.690985
0.4587 (2.1802)34.443563
0.4613 (2.1676)49.575728
0.464 (2.1552)42.522978
0.4667 (2.1429)50.508575
0.4693 (2.1307)0.683834
0.472 (2.1186)515.801934
0.4747 (2.1067)3.437625
0.4773 (2.095)126.939257
0.48 (2.0833)292.405694
0.4827 (2.0718)31.544685
0.4853 (2.0604)97.324859
0.488 (2.0492)26.196496
0.4907 (2.038)23.824451
0.4933 (2.027)77.919946
0.496 (2.0161)853.237673
0.4987 (2.0053)326.881288

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0027 (375) & 305412.921088 \tabularnewline
0.0053 (187.5) & 836275.153364 \tabularnewline
0.008 (125) & 25924.242345 \tabularnewline
0.0107 (93.75) & 2438.46743 \tabularnewline
0.0133 (75) & 60760.562241 \tabularnewline
0.016 (62.5) & 248643.39661 \tabularnewline
0.0187 (53.5714) & 219726.382379 \tabularnewline
0.0213 (46.875) & 5307.430043 \tabularnewline
0.024 (41.6667) & 113169.995526 \tabularnewline
0.0267 (37.5) & 5632.434995 \tabularnewline
0.0293 (34.0909) & 42000.731998 \tabularnewline
0.032 (31.25) & 3933.834892 \tabularnewline
0.0347 (28.8462) & 23380.749897 \tabularnewline
0.0373 (26.7857) & 22184.263032 \tabularnewline
0.04 (25) & 45594.791384 \tabularnewline
0.0427 (23.4375) & 7580.338001 \tabularnewline
0.0453 (22.0588) & 1925.794887 \tabularnewline
0.048 (20.8333) & 10964.663604 \tabularnewline
0.0507 (19.7368) & 73.73535 \tabularnewline
0.0533 (18.75) & 7972.451053 \tabularnewline
0.056 (17.8571) & 4058.376269 \tabularnewline
0.0587 (17.0455) & 13467.282847 \tabularnewline
0.0613 (16.3043) & 2553.825299 \tabularnewline
0.064 (15.625) & 3514.172006 \tabularnewline
0.0667 (15) & 869.704069 \tabularnewline
0.0693 (14.4231) & 466.697005 \tabularnewline
0.072 (13.8889) & 87.138234 \tabularnewline
0.0747 (13.3929) & 2892.663869 \tabularnewline
0.0773 (12.931) & 1907.11472 \tabularnewline
0.08 (12.5) & 8035.783217 \tabularnewline
0.0827 (12.0968) & 66353.069789 \tabularnewline
0.0853 (11.7188) & 12243.133634 \tabularnewline
0.088 (11.3636) & 8330.071062 \tabularnewline
0.0907 (11.0294) & 3501.405105 \tabularnewline
0.0933 (10.7143) & 1215.317187 \tabularnewline
0.096 (10.4167) & 648.858007 \tabularnewline
0.0987 (10.1351) & 1713.000747 \tabularnewline
0.1013 (9.8684) & 56.922523 \tabularnewline
0.104 (9.6154) & 4656.230622 \tabularnewline
0.1067 (9.375) & 726.147395 \tabularnewline
0.1093 (9.1463) & 125.422037 \tabularnewline
0.112 (8.9286) & 162.342283 \tabularnewline
0.1147 (8.7209) & 463.861461 \tabularnewline
0.1173 (8.5227) & 417.84533 \tabularnewline
0.12 (8.3333) & 290.424129 \tabularnewline
0.1227 (8.1522) & 762.717422 \tabularnewline
0.1253 (7.9787) & 327.88452 \tabularnewline
0.128 (7.8125) & 169.692982 \tabularnewline
0.1307 (7.6531) & 104.31067 \tabularnewline
0.1333 (7.5) & 732.145538 \tabularnewline
0.136 (7.3529) & 373.506985 \tabularnewline
0.1387 (7.2115) & 7.604551 \tabularnewline
0.1413 (7.0755) & 220.553988 \tabularnewline
0.144 (6.9444) & 839.521161 \tabularnewline
0.1467 (6.8182) & 393.246535 \tabularnewline
0.1493 (6.6964) & 507.301466 \tabularnewline
0.152 (6.5789) & 618.82861 \tabularnewline
0.1547 (6.4655) & 78.631513 \tabularnewline
0.1573 (6.3559) & 1100.788506 \tabularnewline
0.16 (6.25) & 2816.708611 \tabularnewline
0.1627 (6.1475) & 5497.013382 \tabularnewline
0.1653 (6.0484) & 43080.497912 \tabularnewline
0.168 (5.9524) & 38220.275597 \tabularnewline
0.1707 (5.8594) & 5263.218754 \tabularnewline
0.1733 (5.7692) & 3175.089709 \tabularnewline
0.176 (5.6818) & 422.105705 \tabularnewline
0.1787 (5.597) & 404.262665 \tabularnewline
0.1813 (5.5147) & 96.929115 \tabularnewline
0.184 (5.4348) & 268.407257 \tabularnewline
0.1867 (5.3571) & 471.357965 \tabularnewline
0.1893 (5.2817) & 4.602399 \tabularnewline
0.192 (5.2083) & 6.226613 \tabularnewline
0.1947 (5.137) & 555.477218 \tabularnewline
0.1973 (5.0676) & 105.562383 \tabularnewline
0.2 (5) & 106.693124 \tabularnewline
0.2027 (4.9342) & 365.21339 \tabularnewline
0.2053 (4.8701) & 578.006014 \tabularnewline
0.208 (4.8077) & 301.856887 \tabularnewline
0.2107 (4.7468) & 12.160869 \tabularnewline
0.2133 (4.6875) & 167.999597 \tabularnewline
0.216 (4.6296) & 87.634774 \tabularnewline
0.2187 (4.5732) & 94.207363 \tabularnewline
0.2213 (4.5181) & 72.898752 \tabularnewline
0.224 (4.4643) & 40.872729 \tabularnewline
0.2267 (4.4118) & 58.267977 \tabularnewline
0.2293 (4.3605) & 153.166385 \tabularnewline
0.232 (4.3103) & 63.576578 \tabularnewline
0.2347 (4.2614) & 142.78437 \tabularnewline
0.2373 (4.2135) & 539.460232 \tabularnewline
0.24 (4.1667) & 1045.83448 \tabularnewline
0.2427 (4.1209) & 68.339186 \tabularnewline
0.2453 (4.0761) & 710.483462 \tabularnewline
0.248 (4.0323) & 5855.827504 \tabularnewline
0.2507 (3.9894) & 21873.575727 \tabularnewline
0.2533 (3.9474) & 1517.513805 \tabularnewline
0.256 (3.9062) & 411.931544 \tabularnewline
0.2587 (3.866) & 61.893128 \tabularnewline
0.2613 (3.8265) & 62.82269 \tabularnewline
0.264 (3.7879) & 158.711251 \tabularnewline
0.2667 (3.75) & 8.586587 \tabularnewline
0.2693 (3.7129) & 164.013297 \tabularnewline
0.272 (3.6765) & 155.577936 \tabularnewline
0.2747 (3.6408) & 168.014205 \tabularnewline
0.2773 (3.6058) & 67.286502 \tabularnewline
0.28 (3.5714) & 29.916694 \tabularnewline
0.2827 (3.5377) & 85.6302 \tabularnewline
0.2853 (3.5047) & 203.985743 \tabularnewline
0.288 (3.4722) & 59.484349 \tabularnewline
0.2907 (3.4404) & 63.294866 \tabularnewline
0.2933 (3.4091) & 47.798787 \tabularnewline
0.296 (3.3784) & 24.847116 \tabularnewline
0.2987 (3.3482) & 3.142518 \tabularnewline
0.3013 (3.3186) & 74.742853 \tabularnewline
0.304 (3.2895) & 26.040169 \tabularnewline
0.3067 (3.2609) & 5.481305 \tabularnewline
0.3093 (3.2328) & 64.169891 \tabularnewline
0.312 (3.2051) & 52.334359 \tabularnewline
0.3147 (3.178) & 105.19286 \tabularnewline
0.3173 (3.1513) & 25.478031 \tabularnewline
0.32 (3.125) & 9.412664 \tabularnewline
0.3227 (3.0992) & 237.788005 \tabularnewline
0.3253 (3.0738) & 16.770133 \tabularnewline
0.328 (3.0488) & 125.738512 \tabularnewline
0.3307 (3.0242) & 1395.603276 \tabularnewline
0.3333 (3) & 2117.716663 \tabularnewline
0.336 (2.9762) & 198.222107 \tabularnewline
0.3387 (2.9528) & 213.673282 \tabularnewline
0.3413 (2.9297) & 0.477349 \tabularnewline
0.344 (2.907) & 110.526313 \tabularnewline
0.3467 (2.8846) & 21.56702 \tabularnewline
0.3493 (2.8626) & 314.476129 \tabularnewline
0.352 (2.8409) & 78.326184 \tabularnewline
0.3547 (2.8195) & 10.083297 \tabularnewline
0.3573 (2.7985) & 26.371526 \tabularnewline
0.36 (2.7778) & 36.85968 \tabularnewline
0.3627 (2.7574) & 379.688317 \tabularnewline
0.3653 (2.7372) & 50.55697 \tabularnewline
0.368 (2.7174) & 8.913881 \tabularnewline
0.3707 (2.6978) & 52.245281 \tabularnewline
0.3733 (2.6786) & 20.549021 \tabularnewline
0.376 (2.6596) & 29.521128 \tabularnewline
0.3787 (2.6408) & 36.3016 \tabularnewline
0.3813 (2.6224) & 99.851191 \tabularnewline
0.384 (2.6042) & 71.236474 \tabularnewline
0.3867 (2.5862) & 5.140791 \tabularnewline
0.3893 (2.5685) & 89.996982 \tabularnewline
0.392 (2.551) & 136.158383 \tabularnewline
0.3947 (2.5338) & 113.464136 \tabularnewline
0.3973 (2.5168) & 33.103213 \tabularnewline
0.4 (2.5) & 31.900626 \tabularnewline
0.4027 (2.4834) & 57.379425 \tabularnewline
0.4053 (2.4671) & 18.361649 \tabularnewline
0.408 (2.451) & 173.511546 \tabularnewline
0.4107 (2.4351) & 85.783267 \tabularnewline
0.4133 (2.4194) & 940.594929 \tabularnewline
0.416 (2.4038) & 14079.701652 \tabularnewline
0.4187 (2.3885) & 3526.560495 \tabularnewline
0.4213 (2.3734) & 1423.339742 \tabularnewline
0.424 (2.3585) & 350.478199 \tabularnewline
0.4267 (2.3438) & 117.237258 \tabularnewline
0.4293 (2.3292) & 47.144303 \tabularnewline
0.432 (2.3148) & 266.375549 \tabularnewline
0.4347 (2.3006) & 27.963408 \tabularnewline
0.4373 (2.2866) & 60.379971 \tabularnewline
0.44 (2.2727) & 5.396099 \tabularnewline
0.4427 (2.259) & 94.141278 \tabularnewline
0.4453 (2.2455) & 99.625457 \tabularnewline
0.448 (2.2321) & 62.36076 \tabularnewline
0.4507 (2.2189) & 48.873597 \tabularnewline
0.4533 (2.2059) & 48.579614 \tabularnewline
0.456 (2.193) & 240.690985 \tabularnewline
0.4587 (2.1802) & 34.443563 \tabularnewline
0.4613 (2.1676) & 49.575728 \tabularnewline
0.464 (2.1552) & 42.522978 \tabularnewline
0.4667 (2.1429) & 50.508575 \tabularnewline
0.4693 (2.1307) & 0.683834 \tabularnewline
0.472 (2.1186) & 515.801934 \tabularnewline
0.4747 (2.1067) & 3.437625 \tabularnewline
0.4773 (2.095) & 126.939257 \tabularnewline
0.48 (2.0833) & 292.405694 \tabularnewline
0.4827 (2.0718) & 31.544685 \tabularnewline
0.4853 (2.0604) & 97.324859 \tabularnewline
0.488 (2.0492) & 26.196496 \tabularnewline
0.4907 (2.038) & 23.824451 \tabularnewline
0.4933 (2.027) & 77.919946 \tabularnewline
0.496 (2.0161) & 853.237673 \tabularnewline
0.4987 (2.0053) & 326.881288 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29044&T=1

[TABLE]
[ROW][C]Raw Periodogram[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]Box-Cox transformation parameter (lambda)[/C][C]1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d)[/C][C]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0027 (375)[/C][C]305412.921088[/C][/ROW]
[ROW][C]0.0053 (187.5)[/C][C]836275.153364[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]25924.242345[/C][/ROW]
[ROW][C]0.0107 (93.75)[/C][C]2438.46743[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]60760.562241[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]248643.39661[/C][/ROW]
[ROW][C]0.0187 (53.5714)[/C][C]219726.382379[/C][/ROW]
[ROW][C]0.0213 (46.875)[/C][C]5307.430043[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]113169.995526[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]5632.434995[/C][/ROW]
[ROW][C]0.0293 (34.0909)[/C][C]42000.731998[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]3933.834892[/C][/ROW]
[ROW][C]0.0347 (28.8462)[/C][C]23380.749897[/C][/ROW]
[ROW][C]0.0373 (26.7857)[/C][C]22184.263032[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]45594.791384[/C][/ROW]
[ROW][C]0.0427 (23.4375)[/C][C]7580.338001[/C][/ROW]
[ROW][C]0.0453 (22.0588)[/C][C]1925.794887[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]10964.663604[/C][/ROW]
[ROW][C]0.0507 (19.7368)[/C][C]73.73535[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]7972.451053[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]4058.376269[/C][/ROW]
[ROW][C]0.0587 (17.0455)[/C][C]13467.282847[/C][/ROW]
[ROW][C]0.0613 (16.3043)[/C][C]2553.825299[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]3514.172006[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]869.704069[/C][/ROW]
[ROW][C]0.0693 (14.4231)[/C][C]466.697005[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]87.138234[/C][/ROW]
[ROW][C]0.0747 (13.3929)[/C][C]2892.663869[/C][/ROW]
[ROW][C]0.0773 (12.931)[/C][C]1907.11472[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]8035.783217[/C][/ROW]
[ROW][C]0.0827 (12.0968)[/C][C]66353.069789[/C][/ROW]
[ROW][C]0.0853 (11.7188)[/C][C]12243.133634[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]8330.071062[/C][/ROW]
[ROW][C]0.0907 (11.0294)[/C][C]3501.405105[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]1215.317187[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]648.858007[/C][/ROW]
[ROW][C]0.0987 (10.1351)[/C][C]1713.000747[/C][/ROW]
[ROW][C]0.1013 (9.8684)[/C][C]56.922523[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]4656.230622[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]726.147395[/C][/ROW]
[ROW][C]0.1093 (9.1463)[/C][C]125.422037[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]162.342283[/C][/ROW]
[ROW][C]0.1147 (8.7209)[/C][C]463.861461[/C][/ROW]
[ROW][C]0.1173 (8.5227)[/C][C]417.84533[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]290.424129[/C][/ROW]
[ROW][C]0.1227 (8.1522)[/C][C]762.717422[/C][/ROW]
[ROW][C]0.1253 (7.9787)[/C][C]327.88452[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]169.692982[/C][/ROW]
[ROW][C]0.1307 (7.6531)[/C][C]104.31067[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]732.145538[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]373.506985[/C][/ROW]
[ROW][C]0.1387 (7.2115)[/C][C]7.604551[/C][/ROW]
[ROW][C]0.1413 (7.0755)[/C][C]220.553988[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]839.521161[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]393.246535[/C][/ROW]
[ROW][C]0.1493 (6.6964)[/C][C]507.301466[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]618.82861[/C][/ROW]
[ROW][C]0.1547 (6.4655)[/C][C]78.631513[/C][/ROW]
[ROW][C]0.1573 (6.3559)[/C][C]1100.788506[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]2816.708611[/C][/ROW]
[ROW][C]0.1627 (6.1475)[/C][C]5497.013382[/C][/ROW]
[ROW][C]0.1653 (6.0484)[/C][C]43080.497912[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]38220.275597[/C][/ROW]
[ROW][C]0.1707 (5.8594)[/C][C]5263.218754[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]3175.089709[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]422.105705[/C][/ROW]
[ROW][C]0.1787 (5.597)[/C][C]404.262665[/C][/ROW]
[ROW][C]0.1813 (5.5147)[/C][C]96.929115[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]268.407257[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]471.357965[/C][/ROW]
[ROW][C]0.1893 (5.2817)[/C][C]4.602399[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]6.226613[/C][/ROW]
[ROW][C]0.1947 (5.137)[/C][C]555.477218[/C][/ROW]
[ROW][C]0.1973 (5.0676)[/C][C]105.562383[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]106.693124[/C][/ROW]
[ROW][C]0.2027 (4.9342)[/C][C]365.21339[/C][/ROW]
[ROW][C]0.2053 (4.8701)[/C][C]578.006014[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]301.856887[/C][/ROW]
[ROW][C]0.2107 (4.7468)[/C][C]12.160869[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]167.999597[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]87.634774[/C][/ROW]
[ROW][C]0.2187 (4.5732)[/C][C]94.207363[/C][/ROW]
[ROW][C]0.2213 (4.5181)[/C][C]72.898752[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]40.872729[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]58.267977[/C][/ROW]
[ROW][C]0.2293 (4.3605)[/C][C]153.166385[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]63.576578[/C][/ROW]
[ROW][C]0.2347 (4.2614)[/C][C]142.78437[/C][/ROW]
[ROW][C]0.2373 (4.2135)[/C][C]539.460232[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]1045.83448[/C][/ROW]
[ROW][C]0.2427 (4.1209)[/C][C]68.339186[/C][/ROW]
[ROW][C]0.2453 (4.0761)[/C][C]710.483462[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]5855.827504[/C][/ROW]
[ROW][C]0.2507 (3.9894)[/C][C]21873.575727[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]1517.513805[/C][/ROW]
[ROW][C]0.256 (3.9062)[/C][C]411.931544[/C][/ROW]
[ROW][C]0.2587 (3.866)[/C][C]61.893128[/C][/ROW]
[ROW][C]0.2613 (3.8265)[/C][C]62.82269[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]158.711251[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]8.586587[/C][/ROW]
[ROW][C]0.2693 (3.7129)[/C][C]164.013297[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]155.577936[/C][/ROW]
[ROW][C]0.2747 (3.6408)[/C][C]168.014205[/C][/ROW]
[ROW][C]0.2773 (3.6058)[/C][C]67.286502[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]29.916694[/C][/ROW]
[ROW][C]0.2827 (3.5377)[/C][C]85.6302[/C][/ROW]
[ROW][C]0.2853 (3.5047)[/C][C]203.985743[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]59.484349[/C][/ROW]
[ROW][C]0.2907 (3.4404)[/C][C]63.294866[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]47.798787[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]24.847116[/C][/ROW]
[ROW][C]0.2987 (3.3482)[/C][C]3.142518[/C][/ROW]
[ROW][C]0.3013 (3.3186)[/C][C]74.742853[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]26.040169[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]5.481305[/C][/ROW]
[ROW][C]0.3093 (3.2328)[/C][C]64.169891[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]52.334359[/C][/ROW]
[ROW][C]0.3147 (3.178)[/C][C]105.19286[/C][/ROW]
[ROW][C]0.3173 (3.1513)[/C][C]25.478031[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]9.412664[/C][/ROW]
[ROW][C]0.3227 (3.0992)[/C][C]237.788005[/C][/ROW]
[ROW][C]0.3253 (3.0738)[/C][C]16.770133[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]125.738512[/C][/ROW]
[ROW][C]0.3307 (3.0242)[/C][C]1395.603276[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]2117.716663[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]198.222107[/C][/ROW]
[ROW][C]0.3387 (2.9528)[/C][C]213.673282[/C][/ROW]
[ROW][C]0.3413 (2.9297)[/C][C]0.477349[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]110.526313[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]21.56702[/C][/ROW]
[ROW][C]0.3493 (2.8626)[/C][C]314.476129[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]78.326184[/C][/ROW]
[ROW][C]0.3547 (2.8195)[/C][C]10.083297[/C][/ROW]
[ROW][C]0.3573 (2.7985)[/C][C]26.371526[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]36.85968[/C][/ROW]
[ROW][C]0.3627 (2.7574)[/C][C]379.688317[/C][/ROW]
[ROW][C]0.3653 (2.7372)[/C][C]50.55697[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]8.913881[/C][/ROW]
[ROW][C]0.3707 (2.6978)[/C][C]52.245281[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]20.549021[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]29.521128[/C][/ROW]
[ROW][C]0.3787 (2.6408)[/C][C]36.3016[/C][/ROW]
[ROW][C]0.3813 (2.6224)[/C][C]99.851191[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]71.236474[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]5.140791[/C][/ROW]
[ROW][C]0.3893 (2.5685)[/C][C]89.996982[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]136.158383[/C][/ROW]
[ROW][C]0.3947 (2.5338)[/C][C]113.464136[/C][/ROW]
[ROW][C]0.3973 (2.5168)[/C][C]33.103213[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]31.900626[/C][/ROW]
[ROW][C]0.4027 (2.4834)[/C][C]57.379425[/C][/ROW]
[ROW][C]0.4053 (2.4671)[/C][C]18.361649[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]173.511546[/C][/ROW]
[ROW][C]0.4107 (2.4351)[/C][C]85.783267[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]940.594929[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]14079.701652[/C][/ROW]
[ROW][C]0.4187 (2.3885)[/C][C]3526.560495[/C][/ROW]
[ROW][C]0.4213 (2.3734)[/C][C]1423.339742[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]350.478199[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]117.237258[/C][/ROW]
[ROW][C]0.4293 (2.3292)[/C][C]47.144303[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]266.375549[/C][/ROW]
[ROW][C]0.4347 (2.3006)[/C][C]27.963408[/C][/ROW]
[ROW][C]0.4373 (2.2866)[/C][C]60.379971[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]5.396099[/C][/ROW]
[ROW][C]0.4427 (2.259)[/C][C]94.141278[/C][/ROW]
[ROW][C]0.4453 (2.2455)[/C][C]99.625457[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]62.36076[/C][/ROW]
[ROW][C]0.4507 (2.2189)[/C][C]48.873597[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]48.579614[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]240.690985[/C][/ROW]
[ROW][C]0.4587 (2.1802)[/C][C]34.443563[/C][/ROW]
[ROW][C]0.4613 (2.1676)[/C][C]49.575728[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]42.522978[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]50.508575[/C][/ROW]
[ROW][C]0.4693 (2.1307)[/C][C]0.683834[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]515.801934[/C][/ROW]
[ROW][C]0.4747 (2.1067)[/C][C]3.437625[/C][/ROW]
[ROW][C]0.4773 (2.095)[/C][C]126.939257[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]292.405694[/C][/ROW]
[ROW][C]0.4827 (2.0718)[/C][C]31.544685[/C][/ROW]
[ROW][C]0.4853 (2.0604)[/C][C]97.324859[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]26.196496[/C][/ROW]
[ROW][C]0.4907 (2.038)[/C][C]23.824451[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]77.919946[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]853.237673[/C][/ROW]
[ROW][C]0.4987 (2.0053)[/C][C]326.881288[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29044&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29044&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0027 (375)305412.921088
0.0053 (187.5)836275.153364
0.008 (125)25924.242345
0.0107 (93.75)2438.46743
0.0133 (75)60760.562241
0.016 (62.5)248643.39661
0.0187 (53.5714)219726.382379
0.0213 (46.875)5307.430043
0.024 (41.6667)113169.995526
0.0267 (37.5)5632.434995
0.0293 (34.0909)42000.731998
0.032 (31.25)3933.834892
0.0347 (28.8462)23380.749897
0.0373 (26.7857)22184.263032
0.04 (25)45594.791384
0.0427 (23.4375)7580.338001
0.0453 (22.0588)1925.794887
0.048 (20.8333)10964.663604
0.0507 (19.7368)73.73535
0.0533 (18.75)7972.451053
0.056 (17.8571)4058.376269
0.0587 (17.0455)13467.282847
0.0613 (16.3043)2553.825299
0.064 (15.625)3514.172006
0.0667 (15)869.704069
0.0693 (14.4231)466.697005
0.072 (13.8889)87.138234
0.0747 (13.3929)2892.663869
0.0773 (12.931)1907.11472
0.08 (12.5)8035.783217
0.0827 (12.0968)66353.069789
0.0853 (11.7188)12243.133634
0.088 (11.3636)8330.071062
0.0907 (11.0294)3501.405105
0.0933 (10.7143)1215.317187
0.096 (10.4167)648.858007
0.0987 (10.1351)1713.000747
0.1013 (9.8684)56.922523
0.104 (9.6154)4656.230622
0.1067 (9.375)726.147395
0.1093 (9.1463)125.422037
0.112 (8.9286)162.342283
0.1147 (8.7209)463.861461
0.1173 (8.5227)417.84533
0.12 (8.3333)290.424129
0.1227 (8.1522)762.717422
0.1253 (7.9787)327.88452
0.128 (7.8125)169.692982
0.1307 (7.6531)104.31067
0.1333 (7.5)732.145538
0.136 (7.3529)373.506985
0.1387 (7.2115)7.604551
0.1413 (7.0755)220.553988
0.144 (6.9444)839.521161
0.1467 (6.8182)393.246535
0.1493 (6.6964)507.301466
0.152 (6.5789)618.82861
0.1547 (6.4655)78.631513
0.1573 (6.3559)1100.788506
0.16 (6.25)2816.708611
0.1627 (6.1475)5497.013382
0.1653 (6.0484)43080.497912
0.168 (5.9524)38220.275597
0.1707 (5.8594)5263.218754
0.1733 (5.7692)3175.089709
0.176 (5.6818)422.105705
0.1787 (5.597)404.262665
0.1813 (5.5147)96.929115
0.184 (5.4348)268.407257
0.1867 (5.3571)471.357965
0.1893 (5.2817)4.602399
0.192 (5.2083)6.226613
0.1947 (5.137)555.477218
0.1973 (5.0676)105.562383
0.2 (5)106.693124
0.2027 (4.9342)365.21339
0.2053 (4.8701)578.006014
0.208 (4.8077)301.856887
0.2107 (4.7468)12.160869
0.2133 (4.6875)167.999597
0.216 (4.6296)87.634774
0.2187 (4.5732)94.207363
0.2213 (4.5181)72.898752
0.224 (4.4643)40.872729
0.2267 (4.4118)58.267977
0.2293 (4.3605)153.166385
0.232 (4.3103)63.576578
0.2347 (4.2614)142.78437
0.2373 (4.2135)539.460232
0.24 (4.1667)1045.83448
0.2427 (4.1209)68.339186
0.2453 (4.0761)710.483462
0.248 (4.0323)5855.827504
0.2507 (3.9894)21873.575727
0.2533 (3.9474)1517.513805
0.256 (3.9062)411.931544
0.2587 (3.866)61.893128
0.2613 (3.8265)62.82269
0.264 (3.7879)158.711251
0.2667 (3.75)8.586587
0.2693 (3.7129)164.013297
0.272 (3.6765)155.577936
0.2747 (3.6408)168.014205
0.2773 (3.6058)67.286502
0.28 (3.5714)29.916694
0.2827 (3.5377)85.6302
0.2853 (3.5047)203.985743
0.288 (3.4722)59.484349
0.2907 (3.4404)63.294866
0.2933 (3.4091)47.798787
0.296 (3.3784)24.847116
0.2987 (3.3482)3.142518
0.3013 (3.3186)74.742853
0.304 (3.2895)26.040169
0.3067 (3.2609)5.481305
0.3093 (3.2328)64.169891
0.312 (3.2051)52.334359
0.3147 (3.178)105.19286
0.3173 (3.1513)25.478031
0.32 (3.125)9.412664
0.3227 (3.0992)237.788005
0.3253 (3.0738)16.770133
0.328 (3.0488)125.738512
0.3307 (3.0242)1395.603276
0.3333 (3)2117.716663
0.336 (2.9762)198.222107
0.3387 (2.9528)213.673282
0.3413 (2.9297)0.477349
0.344 (2.907)110.526313
0.3467 (2.8846)21.56702
0.3493 (2.8626)314.476129
0.352 (2.8409)78.326184
0.3547 (2.8195)10.083297
0.3573 (2.7985)26.371526
0.36 (2.7778)36.85968
0.3627 (2.7574)379.688317
0.3653 (2.7372)50.55697
0.368 (2.7174)8.913881
0.3707 (2.6978)52.245281
0.3733 (2.6786)20.549021
0.376 (2.6596)29.521128
0.3787 (2.6408)36.3016
0.3813 (2.6224)99.851191
0.384 (2.6042)71.236474
0.3867 (2.5862)5.140791
0.3893 (2.5685)89.996982
0.392 (2.551)136.158383
0.3947 (2.5338)113.464136
0.3973 (2.5168)33.103213
0.4 (2.5)31.900626
0.4027 (2.4834)57.379425
0.4053 (2.4671)18.361649
0.408 (2.451)173.511546
0.4107 (2.4351)85.783267
0.4133 (2.4194)940.594929
0.416 (2.4038)14079.701652
0.4187 (2.3885)3526.560495
0.4213 (2.3734)1423.339742
0.424 (2.3585)350.478199
0.4267 (2.3438)117.237258
0.4293 (2.3292)47.144303
0.432 (2.3148)266.375549
0.4347 (2.3006)27.963408
0.4373 (2.2866)60.379971
0.44 (2.2727)5.396099
0.4427 (2.259)94.141278
0.4453 (2.2455)99.625457
0.448 (2.2321)62.36076
0.4507 (2.2189)48.873597
0.4533 (2.2059)48.579614
0.456 (2.193)240.690985
0.4587 (2.1802)34.443563
0.4613 (2.1676)49.575728
0.464 (2.1552)42.522978
0.4667 (2.1429)50.508575
0.4693 (2.1307)0.683834
0.472 (2.1186)515.801934
0.4747 (2.1067)3.437625
0.4773 (2.095)126.939257
0.48 (2.0833)292.405694
0.4827 (2.0718)31.544685
0.4853 (2.0604)97.324859
0.488 (2.0492)26.196496
0.4907 (2.038)23.824451
0.4933 (2.027)77.919946
0.496 (2.0161)853.237673
0.4987 (2.0053)326.881288


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')